Mathematical Formalism for Isothermal Linear Irreversibility
| dc.creator | Qian, Hong | |
| dc.date | 2000-07-08 | |
| dc.date | 2001-06-27 | |
| dc.date.accessioned | 2026-07-07T06:35:17Z | |
| dc.date.available | 2026-07-07T06:35:17Z | |
| dc.description | We prove the equivalence among symmetricity, time reversibility, and zero entropy production of the stationary solutions of linear stochastic differential equations. A sufficient and necessary reversibility condition expressed in terms of the coefficients of the equations is given. The existence of a linear stationary irreversible process is established. Concerning reversibility, we show that there is a contradistinction between any 1-dimensional stationary Gaussian process and stationary Gaussian process of dimension $n>1$. A concrete criterion for differentiating stationarity and sweeping behavior is also obtained. The mathematical result is a natural generalization of Einstein's fluctuation-dissipation relation, and provides a rigorous basis for the isothermal irreversibility in a linear regime which is the basis for applying Onsager's theory to macromolecules in aqueous solution. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0007009 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0007009 | |
| dc.identifier | Proc. R. Soc. Lond. A, Vol. 457, pp. 1645-1655 (2001) | |
| dc.identifier | doi:10.1098/rspa.2001.0811 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99749 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Statistical Mechanics | |
| dc.title | Mathematical Formalism for Isothermal Linear Irreversibility | |
| dc.type | text |